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A class bakes 28 cupcakes to sell. They want to package them in boxes of equal amounts. Which of the box sizes below is NOT a viable option?

Possible Box Sizes:

4 cupcakes per box
7 cupcakes per box
10 cupcakes per box
14 cupcakes per box
(1 point)
Responses

4 cupcakes per box
4 cupcakes per box

7 cupcakes per box
7 cupcakes per box

10 cupcakes per box
10 cupcakes per box

14 cupcakes per box

1 answer

To determine which box size is NOT a viable option, we need to find out if 28 cupcakes can be divided evenly by each proposed box size.

  1. 4 cupcakes per box:
    28 ÷ 4 = 7 (whole number, viable)

  2. 7 cupcakes per box:
    28 ÷ 7 = 4 (whole number, viable)

  3. 10 cupcakes per box:
    28 ÷ 10 = 2.8 (not a whole number, NOT viable)

  4. 14 cupcakes per box:
    28 ÷ 14 = 2 (whole number, viable)

The box size that is NOT a viable option is 10 cupcakes per box.